A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS

Julien Roth (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove a DDVV inequality for submanifolds of warped products of the form I ×a M n (c) where I is an interval and M n (c) a real space form of curvature c. As an application, we give a rigidity result for submanifolds of R × e λt H n (c).

Domaines: Géométrie différentielle [math.DG]

Julien Roth. A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS. Bulletin of the Australian Mathematical Society, 2017, 95 (3), pp.495-499. ⟨hal-01338102⟩